TSTP Solution File: SYN509-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN509-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:27:26 EDT 2022

% Result   : Unsatisfiable 1.60s 0.58s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  295
% Syntax   : Number of formulae    :  666 (   1 unt;   0 def)
%            Number of atoms       : 2165 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2574 (1075   ~;1343   |;   0   &)
%                                         ( 156 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  189 ( 188 usr; 185 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  157 ( 157   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2529,plain,
    $false,
    inference(avatar_sat_refutation,[],[f225,f237,f242,f251,f260,f272,f276,f281,f290,f299,f309,f330,f335,f342,f351,f359,f379,f393,f411,f420,f427,f432,f442,f455,f463,f468,f488,f493,f499,f503,f507,f508,f517,f522,f532,f537,f543,f544,f549,f554,f562,f567,f568,f569,f575,f581,f588,f593,f594,f595,f608,f613,f618,f620,f625,f634,f635,f640,f641,f646,f651,f656,f657,f667,f672,f677,f684,f688,f694,f699,f706,f723,f725,f728,f733,f743,f744,f745,f750,f755,f760,f765,f766,f771,f776,f777,f782,f787,f792,f797,f798,f808,f814,f815,f821,f826,f828,f833,f835,f841,f846,f852,f857,f872,f877,f882,f883,f885,f890,f891,f892,f897,f898,f908,f913,f918,f919,f920,f927,f929,f934,f941,f942,f943,f948,f953,f954,f960,f970,f975,f977,f978,f980,f986,f987,f993,f998,f999,f1004,f1030,f1035,f1049,f1050,f1059,f1060,f1067,f1078,f1079,f1087,f1093,f1109,f1129,f1138,f1140,f1149,f1151,f1152,f1153,f1173,f1188,f1194,f1220,f1230,f1238,f1239,f1265,f1298,f1340,f1367,f1368,f1397,f1424,f1464,f1482,f1514,f1547,f1549,f1551,f1576,f1577,f1620,f1623,f1636,f1660,f1680,f1730,f1746,f1888,f1891,f1899,f1940,f1942,f1969,f2021,f2022,f2044,f2052,f2098,f2101,f2116,f2160,f2168,f2259,f2260,f2265,f2283,f2284,f2285,f2304,f2318,f2321,f2322,f2346,f2446,f2448,f2472,f2527]) ).

fof(f2527,plain,
    ( spl0_181
    | spl0_90
    | ~ spl0_46
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2520,f653,f400,f605,f1559]) ).

fof(f1559,plain,
    ( spl0_181
  <=> c1_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f605,plain,
    ( spl0_90
  <=> c0_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f400,plain,
    ( spl0_46
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f653,plain,
    ( spl0_98
  <=> c2_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2520,plain,
    ( c0_1(a489)
    | c1_1(a489)
    | ~ spl0_46
    | ~ spl0_98 ),
    inference(resolution,[],[f401,f655]) ).

fof(f655,plain,
    ( c2_1(a489)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f401,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f2472,plain,
    ( ~ spl0_181
    | spl0_90
    | ~ spl0_30
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2470,f653,f328,f605,f1559]) ).

fof(f328,plain,
    ( spl0_30
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2470,plain,
    ( c0_1(a489)
    | ~ c1_1(a489)
    | ~ spl0_30
    | ~ spl0_98 ),
    inference(resolution,[],[f655,f329]) ).

fof(f329,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f2448,plain,
    ( ~ spl0_173
    | ~ spl0_73
    | ~ spl0_8
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2050,f546,f235,f519,f1244]) ).

fof(f1244,plain,
    ( spl0_173
  <=> c1_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f519,plain,
    ( spl0_73
  <=> c0_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f235,plain,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f546,plain,
    ( spl0_78
  <=> c3_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2050,plain,
    ( ~ c0_1(a437)
    | ~ c1_1(a437)
    | ~ spl0_8
    | ~ spl0_78 ),
    inference(resolution,[],[f548,f236]) ).

fof(f236,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f548,plain,
    ( c3_1(a437)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f2446,plain,
    ( spl0_136
    | spl0_128
    | ~ spl0_86
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2439,f773,f586,f823,f869]) ).

fof(f869,plain,
    ( spl0_136
  <=> c3_1(a441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f823,plain,
    ( spl0_128
  <=> c2_1(a441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f586,plain,
    ( spl0_86
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f773,plain,
    ( spl0_119
  <=> c0_1(a441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2439,plain,
    ( c2_1(a441)
    | c3_1(a441)
    | ~ spl0_86
    | ~ spl0_119 ),
    inference(resolution,[],[f587,f775]) ).

fof(f775,plain,
    ( c0_1(a441)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f587,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f2346,plain,
    ( ~ spl0_143
    | spl0_156
    | ~ spl0_85
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2345,f789,f583,f995,f910]) ).

fof(f910,plain,
    ( spl0_143
  <=> c2_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f995,plain,
    ( spl0_156
  <=> c1_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f583,plain,
    ( spl0_85
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f789,plain,
    ( spl0_122
  <=> c3_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2345,plain,
    ( c1_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_85
    | ~ spl0_122 ),
    inference(resolution,[],[f791,f584]) ).

fof(f584,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f791,plain,
    ( c3_1(a451)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f2322,plain,
    ( ~ spl0_117
    | ~ spl0_173
    | ~ spl0_78
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2139,f597,f546,f1244,f762]) ).

fof(f762,plain,
    ( spl0_117
  <=> c2_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f597,plain,
    ( spl0_88
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2139,plain,
    ( ~ c1_1(a437)
    | ~ c2_1(a437)
    | ~ spl0_78
    | ~ spl0_88 ),
    inference(resolution,[],[f598,f548]) ).

fof(f598,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f2321,plain,
    ( spl0_76
    | spl0_166
    | ~ spl0_106
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2320,f720,f701,f1090,f534]) ).

fof(f534,plain,
    ( spl0_76
  <=> c3_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1090,plain,
    ( spl0_166
  <=> c2_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f701,plain,
    ( spl0_106
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f720,plain,
    ( spl0_110
  <=> c1_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2320,plain,
    ( c2_1(a435)
    | c3_1(a435)
    | ~ spl0_106
    | ~ spl0_110 ),
    inference(resolution,[],[f722,f702]) ).

fof(f702,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f722,plain,
    ( c1_1(a435)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f2318,plain,
    ( spl0_49
    | spl0_142
    | ~ spl0_106
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2316,f779,f701,f905,f413]) ).

fof(f413,plain,
    ( spl0_49
  <=> c2_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f905,plain,
    ( spl0_142
  <=> c3_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f779,plain,
    ( spl0_120
  <=> c1_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2316,plain,
    ( c3_1(a484)
    | c2_1(a484)
    | ~ spl0_106
    | ~ spl0_120 ),
    inference(resolution,[],[f781,f702]) ).

fof(f781,plain,
    ( c1_1(a484)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f2304,plain,
    ( spl0_125
    | spl0_153
    | ~ spl0_108
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2297,f879,f708,f972,f805]) ).

fof(f805,plain,
    ( spl0_125
  <=> c1_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f972,plain,
    ( spl0_153
  <=> c2_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f708,plain,
    ( spl0_108
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f879,plain,
    ( spl0_138
  <=> c3_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2297,plain,
    ( c2_1(a443)
    | c1_1(a443)
    | ~ spl0_108
    | ~ spl0_138 ),
    inference(resolution,[],[f709,f881]) ).

fof(f881,plain,
    ( c3_1(a443)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f709,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f2285,plain,
    ( ~ spl0_87
    | spl0_161
    | ~ spl0_22
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2278,f704,f296,f1032,f590]) ).

fof(f590,plain,
    ( spl0_87
  <=> c0_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1032,plain,
    ( spl0_161
  <=> c1_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f296,plain,
    ( spl0_22
  <=> c2_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f704,plain,
    ( spl0_107
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2278,plain,
    ( c1_1(a442)
    | ~ c0_1(a442)
    | ~ spl0_22
    | ~ spl0_107 ),
    inference(resolution,[],[f705,f298]) ).

fof(f298,plain,
    ( c2_1(a442)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f705,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f2284,plain,
    ( spl0_19
    | ~ spl0_132
    | ~ spl0_107
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2276,f1001,f704,f849,f283]) ).

fof(f283,plain,
    ( spl0_19
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f849,plain,
    ( spl0_132
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1001,plain,
    ( spl0_157
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2276,plain,
    ( ~ c0_1(a463)
    | c1_1(a463)
    | ~ spl0_107
    | ~ spl0_157 ),
    inference(resolution,[],[f705,f1003]) ).

fof(f1003,plain,
    ( c2_1(a463)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f2283,plain,
    ( ~ spl0_168
    | spl0_84
    | ~ spl0_107
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2277,f938,f704,f578,f1126]) ).

fof(f1126,plain,
    ( spl0_168
  <=> c0_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f578,plain,
    ( spl0_84
  <=> c1_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f938,plain,
    ( spl0_147
  <=> c2_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2277,plain,
    ( c1_1(a449)
    | ~ c0_1(a449)
    | ~ spl0_107
    | ~ spl0_147 ),
    inference(resolution,[],[f705,f940]) ).

fof(f940,plain,
    ( c2_1(a449)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f2265,plain,
    ( ~ spl0_171
    | spl0_130
    | ~ spl0_103
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2249,f894,f686,f838,f1216]) ).

fof(f1216,plain,
    ( spl0_171
  <=> c1_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f838,plain,
    ( spl0_130
  <=> c2_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f686,plain,
    ( spl0_103
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f894,plain,
    ( spl0_140
  <=> c3_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2249,plain,
    ( c2_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_103
    | ~ spl0_140 ),
    inference(resolution,[],[f687,f896]) ).

fof(f896,plain,
    ( c3_1(a472)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f687,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f2260,plain,
    ( ~ spl0_53
    | spl0_167
    | ~ spl0_83
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2252,f686,f572,f1106,f429]) ).

fof(f429,plain,
    ( spl0_53
  <=> c1_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1106,plain,
    ( spl0_167
  <=> c2_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f572,plain,
    ( spl0_83
  <=> c3_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2252,plain,
    ( c2_1(a450)
    | ~ c1_1(a450)
    | ~ spl0_83
    | ~ spl0_103 ),
    inference(resolution,[],[f687,f574]) ).

fof(f574,plain,
    ( c3_1(a450)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f2259,plain,
    ( spl0_23
    | ~ spl0_146
    | ~ spl0_62
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2250,f686,f465,f931,f302]) ).

fof(f302,plain,
    ( spl0_23
  <=> c2_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f931,plain,
    ( spl0_146
  <=> c1_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f465,plain,
    ( spl0_62
  <=> c3_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2250,plain,
    ( ~ c1_1(a457)
    | c2_1(a457)
    | ~ spl0_62
    | ~ spl0_103 ),
    inference(resolution,[],[f687,f467]) ).

fof(f467,plain,
    ( c3_1(a457)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f2168,plain,
    ( spl0_19
    | ~ spl0_132
    | ~ spl0_51
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2164,f1262,f422,f849,f283]) ).

fof(f422,plain,
    ( spl0_51
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1262,plain,
    ( spl0_174
  <=> c3_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2164,plain,
    ( ~ c0_1(a463)
    | c1_1(a463)
    | ~ spl0_51
    | ~ spl0_174 ),
    inference(resolution,[],[f1264,f423]) ).

fof(f423,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f1264,plain,
    ( c3_1(a463)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1262]) ).

fof(f2160,plain,
    ( spl0_104
    | ~ spl0_87
    | ~ spl0_89
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2156,f1032,f600,f590,f691]) ).

fof(f691,plain,
    ( spl0_104
  <=> c3_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f600,plain,
    ( spl0_89
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2156,plain,
    ( ~ c0_1(a442)
    | c3_1(a442)
    | ~ spl0_89
    | ~ spl0_161 ),
    inference(resolution,[],[f601,f1033]) ).

fof(f1033,plain,
    ( c1_1(a442)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f601,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f2116,plain,
    ( spl0_18
    | spl0_164
    | ~ spl0_86
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2105,f648,f586,f1075,f278]) ).

fof(f278,plain,
    ( spl0_18
  <=> c2_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1075,plain,
    ( spl0_164
  <=> c3_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f648,plain,
    ( spl0_97
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2105,plain,
    ( c3_1(a467)
    | c2_1(a467)
    | ~ spl0_86
    | ~ spl0_97 ),
    inference(resolution,[],[f587,f650]) ).

fof(f650,plain,
    ( c0_1(a467)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f2101,plain,
    ( ~ spl0_53
    | spl0_9
    | ~ spl0_81
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2088,f572,f560,f239,f429]) ).

fof(f239,plain,
    ( spl0_9
  <=> c0_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f560,plain,
    ( spl0_81
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2088,plain,
    ( c0_1(a450)
    | ~ c1_1(a450)
    | ~ spl0_81
    | ~ spl0_83 ),
    inference(resolution,[],[f561,f574]) ).

fof(f561,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f2098,plain,
    ( spl0_182
    | ~ spl0_146
    | ~ spl0_62
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2086,f560,f465,f931,f1573]) ).

fof(f1573,plain,
    ( spl0_182
  <=> c0_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f2086,plain,
    ( ~ c1_1(a457)
    | c0_1(a457)
    | ~ spl0_62
    | ~ spl0_81 ),
    inference(resolution,[],[f561,f467]) ).

fof(f2052,plain,
    ( ~ spl0_73
    | spl0_173
    | ~ spl0_51
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2049,f546,f422,f1244,f519]) ).

fof(f2049,plain,
    ( c1_1(a437)
    | ~ c0_1(a437)
    | ~ spl0_51
    | ~ spl0_78 ),
    inference(resolution,[],[f548,f423]) ).

fof(f2044,plain,
    ( ~ spl0_97
    | spl0_101
    | ~ spl0_51
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2041,f1075,f422,f674,f648]) ).

fof(f674,plain,
    ( spl0_101
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2041,plain,
    ( c1_1(a467)
    | ~ c0_1(a467)
    | ~ spl0_51
    | ~ spl0_164 ),
    inference(resolution,[],[f1077,f423]) ).

fof(f1077,plain,
    ( c3_1(a467)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1075]) ).

fof(f2022,plain,
    ( spl0_115
    | spl0_160
    | spl0_35
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f2011,f437,f348,f1027,f752]) ).

fof(f752,plain,
    ( spl0_115
  <=> c0_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1027,plain,
    ( spl0_160
  <=> c1_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f348,plain,
    ( spl0_35
  <=> c3_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f437,plain,
    ( spl0_55
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2011,plain,
    ( c1_1(a444)
    | c0_1(a444)
    | spl0_35
    | ~ spl0_55 ),
    inference(resolution,[],[f438,f350]) ).

fof(f350,plain,
    ( ~ c3_1(a444)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f438,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f2021,plain,
    ( spl0_77
    | spl0_10
    | ~ spl0_55
    | spl0_114 ),
    inference(avatar_split_clause,[],[f2018,f747,f437,f244,f540]) ).

fof(f540,plain,
    ( spl0_77
  <=> c0_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f244,plain,
    ( spl0_10
  <=> c1_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f747,plain,
    ( spl0_114
  <=> c3_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2018,plain,
    ( c1_1(a445)
    | c0_1(a445)
    | ~ spl0_55
    | spl0_114 ),
    inference(resolution,[],[f438,f749]) ).

fof(f749,plain,
    ( ~ c3_1(a445)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f1969,plain,
    ( spl0_23
    | spl0_182
    | ~ spl0_37
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1967,f931,f357,f1573,f302]) ).

fof(f357,plain,
    ( spl0_37
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1967,plain,
    ( c0_1(a457)
    | c2_1(a457)
    | ~ spl0_37
    | ~ spl0_146 ),
    inference(resolution,[],[f933,f358]) ).

fof(f358,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f933,plain,
    ( c1_1(a457)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f1942,plain,
    ( ~ spl0_171
    | ~ spl0_105
    | ~ spl0_8
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1937,f894,f235,f696,f1216]) ).

fof(f696,plain,
    ( spl0_105
  <=> c0_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1937,plain,
    ( ~ c0_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_8
    | ~ spl0_140 ),
    inference(resolution,[],[f896,f236]) ).

fof(f1940,plain,
    ( ~ spl0_105
    | spl0_171
    | ~ spl0_51
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1936,f894,f422,f1216,f696]) ).

fof(f1936,plain,
    ( c1_1(a472)
    | ~ c0_1(a472)
    | ~ spl0_51
    | ~ spl0_140 ),
    inference(resolution,[],[f896,f423]) ).

fof(f1899,plain,
    ( spl0_169
    | spl0_126
    | ~ spl0_59
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1867,f514,f453,f811,f1196]) ).

fof(f1196,plain,
    ( spl0_169
  <=> c0_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f811,plain,
    ( spl0_126
  <=> c3_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f453,plain,
    ( spl0_59
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f514,plain,
    ( spl0_72
  <=> c2_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1867,plain,
    ( c3_1(a492)
    | c0_1(a492)
    | ~ spl0_59
    | ~ spl0_72 ),
    inference(resolution,[],[f454,f516]) ).

fof(f516,plain,
    ( c2_1(a492)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f454,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f1891,plain,
    ( spl0_104
    | ~ spl0_87
    | ~ spl0_22
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1887,f461,f296,f590,f691]) ).

fof(f461,plain,
    ( spl0_61
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1887,plain,
    ( ~ c0_1(a442)
    | c3_1(a442)
    | ~ spl0_22
    | ~ spl0_61 ),
    inference(resolution,[],[f462,f298]) ).

fof(f462,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f1888,plain,
    ( ~ spl0_169
    | spl0_126
    | ~ spl0_61
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1879,f514,f461,f811,f1196]) ).

fof(f1879,plain,
    ( c3_1(a492)
    | ~ c0_1(a492)
    | ~ spl0_61
    | ~ spl0_72 ),
    inference(resolution,[],[f462,f516]) ).

fof(f1746,plain,
    ( spl0_158
    | spl0_142
    | ~ spl0_29
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1738,f779,f325,f905,f1011]) ).

fof(f1011,plain,
    ( spl0_158
  <=> c0_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f325,plain,
    ( spl0_29
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1738,plain,
    ( c3_1(a484)
    | c0_1(a484)
    | ~ spl0_29
    | ~ spl0_120 ),
    inference(resolution,[],[f326,f781]) ).

fof(f326,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f1730,plain,
    ( spl0_91
    | ~ spl0_137
    | ~ spl0_30
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1719,f843,f328,f874,f610]) ).

fof(f610,plain,
    ( spl0_91
  <=> c0_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f874,plain,
    ( spl0_137
  <=> c1_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f843,plain,
    ( spl0_131
  <=> c2_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1719,plain,
    ( ~ c1_1(a486)
    | c0_1(a486)
    | ~ spl0_30
    | ~ spl0_131 ),
    inference(resolution,[],[f329,f845]) ).

fof(f845,plain,
    ( c2_1(a486)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f1680,plain,
    ( ~ spl0_111
    | ~ spl0_123
    | ~ spl0_27
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1663,f967,f318,f794,f730]) ).

fof(f730,plain,
    ( spl0_111
  <=> c1_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f794,plain,
    ( spl0_123
  <=> c0_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f318,plain,
    ( spl0_27
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f967,plain,
    ( spl0_152
  <=> c2_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1663,plain,
    ( ~ c0_1(a456)
    | ~ c1_1(a456)
    | ~ spl0_27
    | ~ spl0_152 ),
    inference(resolution,[],[f319,f969]) ).

fof(f969,plain,
    ( c2_1(a456)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f319,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f1660,plain,
    ( spl0_172
    | ~ spl0_143
    | ~ spl0_70
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1641,f789,f505,f910,f1227]) ).

fof(f1227,plain,
    ( spl0_172
  <=> c0_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f505,plain,
    ( spl0_70
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1641,plain,
    ( ~ c2_1(a451)
    | c0_1(a451)
    | ~ spl0_70
    | ~ spl0_122 ),
    inference(resolution,[],[f791,f506]) ).

fof(f506,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f1636,plain,
    ( spl0_9
    | spl0_167
    | ~ spl0_52
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1635,f572,f425,f1106,f239]) ).

fof(f425,plain,
    ( spl0_52
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1635,plain,
    ( c2_1(a450)
    | c0_1(a450)
    | ~ spl0_52
    | ~ spl0_83 ),
    inference(resolution,[],[f574,f426]) ).

fof(f426,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1623,plain,
    ( spl0_77
    | spl0_10
    | ~ spl0_56
    | spl0_159 ),
    inference(avatar_split_clause,[],[f1426,f1016,f440,f244,f540]) ).

fof(f440,plain,
    ( spl0_56
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1016,plain,
    ( spl0_159
  <=> c2_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1426,plain,
    ( c1_1(a445)
    | c0_1(a445)
    | ~ spl0_56
    | spl0_159 ),
    inference(resolution,[],[f1017,f441]) ).

fof(f441,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f1017,plain,
    ( ~ c2_1(a445)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1620,plain,
    ( spl0_129
    | spl0_5
    | ~ spl0_31
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1614,f357,f332,f222,f830]) ).

fof(f830,plain,
    ( spl0_129
  <=> c0_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f222,plain,
    ( spl0_5
  <=> c2_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f332,plain,
    ( spl0_31
  <=> c1_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1614,plain,
    ( c2_1(a448)
    | c0_1(a448)
    | ~ spl0_31
    | ~ spl0_37 ),
    inference(resolution,[],[f358,f334]) ).

fof(f334,plain,
    ( c1_1(a448)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f1577,plain,
    ( spl0_23
    | spl0_182
    | ~ spl0_52
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1571,f465,f425,f1573,f302]) ).

fof(f1571,plain,
    ( c0_1(a457)
    | c2_1(a457)
    | ~ spl0_52
    | ~ spl0_62 ),
    inference(resolution,[],[f467,f426]) ).

fof(f1576,plain,
    ( ~ spl0_182
    | ~ spl0_146
    | ~ spl0_8
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1570,f465,f235,f931,f1573]) ).

fof(f1570,plain,
    ( ~ c1_1(a457)
    | ~ c0_1(a457)
    | ~ spl0_8
    | ~ spl0_62 ),
    inference(resolution,[],[f467,f236]) ).

fof(f1551,plain,
    ( ~ spl0_144
    | spl0_163
    | ~ spl0_66
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1535,f505,f485,f1064,f915]) ).

fof(f915,plain,
    ( spl0_144
  <=> c2_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1064,plain,
    ( spl0_163
  <=> c0_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f485,plain,
    ( spl0_66
  <=> c3_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1535,plain,
    ( c0_1(a447)
    | ~ c2_1(a447)
    | ~ spl0_66
    | ~ spl0_70 ),
    inference(resolution,[],[f506,f487]) ).

fof(f487,plain,
    ( c3_1(a447)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f1549,plain,
    ( ~ spl0_167
    | spl0_9
    | ~ spl0_70
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1541,f572,f505,f239,f1106]) ).

fof(f1541,plain,
    ( c0_1(a450)
    | ~ c2_1(a450)
    | ~ spl0_70
    | ~ spl0_83 ),
    inference(resolution,[],[f506,f574]) ).

fof(f1547,plain,
    ( spl0_90
    | ~ spl0_98
    | ~ spl0_67
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1537,f505,f490,f653,f605]) ).

fof(f490,plain,
    ( spl0_67
  <=> c3_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1537,plain,
    ( ~ c2_1(a489)
    | c0_1(a489)
    | ~ spl0_67
    | ~ spl0_70 ),
    inference(resolution,[],[f506,f492]) ).

fof(f492,plain,
    ( c3_1(a489)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f1514,plain,
    ( spl0_149
    | spl0_127
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f1511,f376,f274,f818,f950]) ).

fof(f950,plain,
    ( spl0_149
  <=> c2_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f818,plain,
    ( spl0_127
  <=> c1_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f274,plain,
    ( spl0_17
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f376,plain,
    ( spl0_41
  <=> c3_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1511,plain,
    ( c1_1(a466)
    | c2_1(a466)
    | ~ spl0_17
    | spl0_41 ),
    inference(resolution,[],[f275,f378]) ).

fof(f378,plain,
    ( ~ c3_1(a466)
    | spl0_41 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f275,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f1482,plain,
    ( spl0_101
    | spl0_18
    | ~ spl0_69
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1473,f648,f501,f278,f674]) ).

fof(f501,plain,
    ( spl0_69
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1473,plain,
    ( c2_1(a467)
    | c1_1(a467)
    | ~ spl0_69
    | ~ spl0_97 ),
    inference(resolution,[],[f502,f650]) ).

fof(f502,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f1464,plain,
    ( ~ spl0_168
    | spl0_92
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1445,f938,f461,f622,f1126]) ).

fof(f622,plain,
    ( spl0_92
  <=> c3_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1445,plain,
    ( c3_1(a449)
    | ~ c0_1(a449)
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(resolution,[],[f462,f940]) ).

fof(f1424,plain,
    ( spl0_35
    | spl0_115
    | ~ spl0_59
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1416,f564,f453,f752,f348]) ).

fof(f564,plain,
    ( spl0_82
  <=> c2_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1416,plain,
    ( c0_1(a444)
    | c3_1(a444)
    | ~ spl0_59
    | ~ spl0_82 ),
    inference(resolution,[],[f454,f566]) ).

fof(f566,plain,
    ( c2_1(a444)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f1397,plain,
    ( spl0_100
    | spl0_68
    | spl0_43
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1394,f440,f386,f496,f669]) ).

fof(f669,plain,
    ( spl0_100
  <=> c0_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f496,plain,
    ( spl0_68
  <=> c1_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f386,plain,
    ( spl0_43
  <=> c2_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1394,plain,
    ( c1_1(a433)
    | c0_1(a433)
    | spl0_43
    | ~ spl0_56 ),
    inference(resolution,[],[f441,f388]) ).

fof(f388,plain,
    ( ~ c2_1(a433)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f1368,plain,
    ( ~ spl0_143
    | ~ spl0_172
    | ~ spl0_54
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1357,f789,f434,f1227,f910]) ).

fof(f434,plain,
    ( spl0_54
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1357,plain,
    ( ~ c0_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_54
    | ~ spl0_122 ),
    inference(resolution,[],[f435,f791]) ).

fof(f435,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f1367,plain,
    ( ~ spl0_117
    | ~ spl0_73
    | ~ spl0_54
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1354,f546,f434,f519,f762]) ).

fof(f1354,plain,
    ( ~ c0_1(a437)
    | ~ c2_1(a437)
    | ~ spl0_54
    | ~ spl0_78 ),
    inference(resolution,[],[f435,f548]) ).

fof(f1340,plain,
    ( spl0_150
    | spl0_145
    | ~ spl0_47
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1335,f425,f404,f924,f957]) ).

fof(f957,plain,
    ( spl0_150
  <=> c0_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f924,plain,
    ( spl0_145
  <=> c2_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f404,plain,
    ( spl0_47
  <=> c3_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1335,plain,
    ( c2_1(a432)
    | c0_1(a432)
    | ~ spl0_47
    | ~ spl0_52 ),
    inference(resolution,[],[f426,f406]) ).

fof(f406,plain,
    ( c3_1(a432)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f1298,plain,
    ( spl0_92
    | spl0_84
    | ~ spl0_28
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1294,f938,f322,f578,f622]) ).

fof(f322,plain,
    ( spl0_28
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1294,plain,
    ( c1_1(a449)
    | c3_1(a449)
    | ~ spl0_28
    | ~ spl0_147 ),
    inference(resolution,[],[f323,f940]) ).

fof(f323,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f1265,plain,
    ( spl0_19
    | spl0_174
    | ~ spl0_33
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1260,f849,f340,f1262,f283]) ).

fof(f340,plain,
    ( spl0_33
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1260,plain,
    ( c3_1(a463)
    | c1_1(a463)
    | ~ spl0_33
    | ~ spl0_132 ),
    inference(resolution,[],[f851,f341]) ).

fof(f341,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f851,plain,
    ( c0_1(a463)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f1239,plain,
    ( ~ spl0_172
    | spl0_156
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1232,f789,f422,f995,f1227]) ).

fof(f1232,plain,
    ( c1_1(a451)
    | ~ c0_1(a451)
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(resolution,[],[f423,f791]) ).

fof(f1238,plain,
    ( spl0_121
    | ~ spl0_93
    | ~ spl0_51
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1235,f643,f422,f627,f784]) ).

fof(f784,plain,
    ( spl0_121
  <=> c1_1(a439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f627,plain,
    ( spl0_93
  <=> c0_1(a439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f643,plain,
    ( spl0_96
  <=> c3_1(a439) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1235,plain,
    ( ~ c0_1(a439)
    | c1_1(a439)
    | ~ spl0_51
    | ~ spl0_96 ),
    inference(resolution,[],[f423,f645]) ).

fof(f645,plain,
    ( c3_1(a439)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f1230,plain,
    ( spl0_172
    | spl0_156
    | ~ spl0_46
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1225,f910,f400,f995,f1227]) ).

fof(f1225,plain,
    ( c1_1(a451)
    | c0_1(a451)
    | ~ spl0_46
    | ~ spl0_143 ),
    inference(resolution,[],[f912,f401]) ).

fof(f912,plain,
    ( c2_1(a451)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f1220,plain,
    ( ~ spl0_105
    | spl0_130
    | ~ spl0_26
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1213,f894,f315,f838,f696]) ).

fof(f315,plain,
    ( spl0_26
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1213,plain,
    ( c2_1(a472)
    | ~ c0_1(a472)
    | ~ spl0_26
    | ~ spl0_140 ),
    inference(resolution,[],[f896,f316]) ).

fof(f316,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f1194,plain,
    ( spl0_126
    | ~ spl0_154
    | ~ spl0_16
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1192,f514,f270,f983,f811]) ).

fof(f983,plain,
    ( spl0_154
  <=> c1_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f270,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1192,plain,
    ( ~ c1_1(a492)
    | c3_1(a492)
    | ~ spl0_16
    | ~ spl0_72 ),
    inference(resolution,[],[f516,f271]) ).

fof(f271,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f1188,plain,
    ( spl0_161
    | spl0_104
    | ~ spl0_33
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1185,f590,f340,f691,f1032]) ).

fof(f1185,plain,
    ( c3_1(a442)
    | c1_1(a442)
    | ~ spl0_33
    | ~ spl0_87 ),
    inference(resolution,[],[f341,f592]) ).

fof(f592,plain,
    ( c0_1(a442)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f1173,plain,
    ( ~ spl0_110
    | spl0_76
    | ~ spl0_16
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1170,f1090,f270,f534,f720]) ).

fof(f1170,plain,
    ( c3_1(a435)
    | ~ c1_1(a435)
    | ~ spl0_16
    | ~ spl0_166 ),
    inference(resolution,[],[f271,f1092]) ).

fof(f1092,plain,
    ( c2_1(a435)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f1153,plain,
    ( ~ spl0_139
    | spl0_163
    | ~ spl0_30
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1141,f915,f328,f1064,f887]) ).

fof(f887,plain,
    ( spl0_139
  <=> c1_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1141,plain,
    ( c0_1(a447)
    | ~ c1_1(a447)
    | ~ spl0_30
    | ~ spl0_144 ),
    inference(resolution,[],[f329,f917]) ).

fof(f917,plain,
    ( c2_1(a447)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f1152,plain,
    ( spl0_9
    | ~ spl0_53
    | ~ spl0_30
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1143,f1106,f328,f429,f239]) ).

fof(f1143,plain,
    ( ~ c1_1(a450)
    | c0_1(a450)
    | ~ spl0_30
    | ~ spl0_167 ),
    inference(resolution,[],[f329,f1108]) ).

fof(f1108,plain,
    ( c2_1(a450)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1151,plain,
    ( ~ spl0_160
    | spl0_115
    | ~ spl0_30
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1145,f564,f328,f752,f1027]) ).

fof(f1145,plain,
    ( c0_1(a444)
    | ~ c1_1(a444)
    | ~ spl0_30
    | ~ spl0_82 ),
    inference(resolution,[],[f329,f566]) ).

fof(f1149,plain,
    ( spl0_133
    | ~ spl0_110
    | ~ spl0_30
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1147,f1090,f328,f720,f854]) ).

fof(f854,plain,
    ( spl0_133
  <=> c0_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1147,plain,
    ( ~ c1_1(a435)
    | c0_1(a435)
    | ~ spl0_30
    | ~ spl0_166 ),
    inference(resolution,[],[f329,f1092]) ).

fof(f1140,plain,
    ( spl0_133
    | spl0_76
    | ~ spl0_29
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1136,f720,f325,f534,f854]) ).

fof(f1136,plain,
    ( c3_1(a435)
    | c0_1(a435)
    | ~ spl0_29
    | ~ spl0_110 ),
    inference(resolution,[],[f326,f722]) ).

fof(f1138,plain,
    ( spl0_115
    | spl0_35
    | ~ spl0_29
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1134,f1027,f325,f348,f752]) ).

fof(f1134,plain,
    ( c3_1(a444)
    | c0_1(a444)
    | ~ spl0_29
    | ~ spl0_160 ),
    inference(resolution,[],[f326,f1028]) ).

fof(f1028,plain,
    ( c1_1(a444)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f1129,plain,
    ( spl0_168
    | spl0_84
    | ~ spl0_46
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1124,f938,f400,f578,f1126]) ).

fof(f1124,plain,
    ( c1_1(a449)
    | c0_1(a449)
    | ~ spl0_46
    | ~ spl0_147 ),
    inference(resolution,[],[f940,f401]) ).

fof(f1109,plain,
    ( spl0_9
    | spl0_167
    | ~ spl0_37
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1100,f429,f357,f1106,f239]) ).

fof(f1100,plain,
    ( c2_1(a450)
    | c0_1(a450)
    | ~ spl0_37
    | ~ spl0_53 ),
    inference(resolution,[],[f358,f431]) ).

fof(f431,plain,
    ( c1_1(a450)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f1093,plain,
    ( spl0_133
    | spl0_166
    | ~ spl0_2
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1088,f534,f210,f1090,f854]) ).

fof(f210,plain,
    ( spl0_2
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1088,plain,
    ( c2_1(a435)
    | c0_1(a435)
    | ~ spl0_2
    | spl0_76 ),
    inference(resolution,[],[f536,f211]) ).

fof(f211,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f536,plain,
    ( ~ c3_1(a435)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f1087,plain,
    ( spl0_18
    | ~ spl0_97
    | ~ spl0_26
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1085,f1075,f315,f648,f278]) ).

fof(f1085,plain,
    ( ~ c0_1(a467)
    | c2_1(a467)
    | ~ spl0_26
    | ~ spl0_164 ),
    inference(resolution,[],[f1077,f316]) ).

fof(f1079,plain,
    ( spl0_148
    | spl0_99
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1073,f340,f253,f664,f945]) ).

fof(f945,plain,
    ( spl0_148
  <=> c1_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f664,plain,
    ( spl0_99
  <=> c3_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f253,plain,
    ( spl0_12
  <=> c0_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1073,plain,
    ( c3_1(a434)
    | c1_1(a434)
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(resolution,[],[f341,f255]) ).

fof(f255,plain,
    ( c0_1(a434)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f1078,plain,
    ( spl0_101
    | spl0_164
    | ~ spl0_33
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1070,f648,f340,f1075,f674]) ).

fof(f1070,plain,
    ( c3_1(a467)
    | c1_1(a467)
    | ~ spl0_33
    | ~ spl0_97 ),
    inference(resolution,[],[f341,f650]) ).

fof(f1067,plain,
    ( ~ spl0_163
    | ~ spl0_139
    | ~ spl0_8
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1062,f485,f235,f887,f1064]) ).

fof(f1062,plain,
    ( ~ c1_1(a447)
    | ~ c0_1(a447)
    | ~ spl0_8
    | ~ spl0_66 ),
    inference(resolution,[],[f487,f236]) ).

fof(f1060,plain,
    ( ~ spl0_113
    | spl0_116
    | ~ spl0_32
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1054,f768,f337,f757,f740]) ).

fof(f740,plain,
    ( spl0_113
  <=> c0_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f757,plain,
    ( spl0_116
  <=> c2_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f337,plain,
    ( spl0_32
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f768,plain,
    ( spl0_118
  <=> c1_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1054,plain,
    ( c2_1(a452)
    | ~ c0_1(a452)
    | ~ spl0_32
    | ~ spl0_118 ),
    inference(resolution,[],[f338,f770]) ).

fof(f770,plain,
    ( c1_1(a452)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f338,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f1059,plain,
    ( ~ spl0_158
    | spl0_49
    | ~ spl0_32
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1053,f779,f337,f413,f1011]) ).

fof(f1053,plain,
    ( c2_1(a484)
    | ~ c0_1(a484)
    | ~ spl0_32
    | ~ spl0_120 ),
    inference(resolution,[],[f338,f781]) ).

fof(f1050,plain,
    ( spl0_10
    | spl0_114
    | ~ spl0_28
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1042,f1016,f322,f747,f244]) ).

fof(f1042,plain,
    ( c3_1(a445)
    | c1_1(a445)
    | ~ spl0_28
    | ~ spl0_159 ),
    inference(resolution,[],[f323,f1018]) ).

fof(f1018,plain,
    ( c2_1(a445)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1049,plain,
    ( spl0_161
    | spl0_104
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1041,f322,f296,f691,f1032]) ).

fof(f1041,plain,
    ( c3_1(a442)
    | c1_1(a442)
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(resolution,[],[f323,f298]) ).

fof(f1035,plain,
    ( ~ spl0_161
    | spl0_104
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1024,f296,f270,f691,f1032]) ).

fof(f1024,plain,
    ( c3_1(a442)
    | ~ c1_1(a442)
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(resolution,[],[f271,f298]) ).

fof(f1030,plain,
    ( spl0_35
    | ~ spl0_160
    | ~ spl0_16
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1023,f564,f270,f1027,f348]) ).

fof(f1023,plain,
    ( ~ c1_1(a444)
    | c3_1(a444)
    | ~ spl0_16
    | ~ spl0_82 ),
    inference(resolution,[],[f271,f566]) ).

fof(f1004,plain,
    ( spl0_157
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f61,f287,f1001]) ).

fof(f287,plain,
    ( spl0_20
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f61,axiom,
    ( ~ hskp17
    | c2_1(a463) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f999,plain,
    ( ~ spl0_1
    | spl0_50
    | spl0_124
    | spl0_28 ),
    inference(avatar_split_clause,[],[f143,f322,f800,f417,f206]) ).

fof(f206,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f417,plain,
    ( spl0_50
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f800,plain,
    ( spl0_124
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f143,axiom,
    ! [X0] :
      ( c1_1(X0)
      | hskp7
      | hskp23
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f998,plain,
    ( ~ spl0_36
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f105,f995,f353]) ).

fof(f353,plain,
    ( spl0_36
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f105,axiom,
    ( ~ c1_1(a451)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f993,plain,
    ( spl0_24
    | ~ spl0_1
    | spl0_88
    | spl0_59 ),
    inference(avatar_split_clause,[],[f180,f453,f597,f206,f306]) ).

fof(f306,plain,
    ( spl0_24
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp16
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f987,plain,
    ( ~ spl0_1
    | spl0_108
    | spl0_15
    | spl0_69 ),
    inference(avatar_split_clause,[],[f168,f501,f266,f708,f206]) ).

fof(f266,plain,
    ( spl0_15
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c2_1(X1)
      | hskp28
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f986,plain,
    ( spl0_154
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f47,f510,f983]) ).

fof(f510,plain,
    ( spl0_71
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f47,axiom,
    ( ~ hskp26
    | c1_1(a492) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f980,plain,
    ( spl0_30
    | ~ spl0_1
    | spl0_34
    | spl0_70 ),
    inference(avatar_split_clause,[],[f181,f505,f344,f206,f328]) ).

fof(f344,plain,
    ( spl0_34
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | hskp8
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f978,plain,
    ( ~ spl0_1
    | spl0_86
    | spl0_51
    | spl0_4 ),
    inference(avatar_split_clause,[],[f178,f217,f422,f586,f206]) ).

fof(f217,plain,
    ( spl0_4
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( hskp10
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f977,plain,
    ( spl0_39
    | spl0_79
    | spl0_25 ),
    inference(avatar_split_clause,[],[f32,f311,f551,f367]) ).

fof(f367,plain,
    ( spl0_39
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f551,plain,
    ( spl0_79
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f311,plain,
    ( spl0_25
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f32,axiom,
    ( hskp30
    | hskp24
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f975,plain,
    ( ~ spl0_153
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f117,f800,f972]) ).

fof(f117,axiom,
    ( ~ hskp7
    | ~ c2_1(a443) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f970,plain,
    ( ~ spl0_25
    | spl0_152 ),
    inference(avatar_split_clause,[],[f40,f967,f311]) ).

fof(f40,axiom,
    ( c2_1(a456)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f960,plain,
    ( ~ spl0_150
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f129,f408,f957]) ).

fof(f408,plain,
    ( spl0_48
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f129,axiom,
    ( ~ hskp0
    | ~ c0_1(a432) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f954,plain,
    ( spl0_34
    | spl0_71
    | ~ spl0_1
    | spl0_51 ),
    inference(avatar_split_clause,[],[f147,f422,f206,f510,f344]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c1_1(X0)
      | hskp26
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f953,plain,
    ( ~ spl0_149
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f98,f372,f950]) ).

fof(f372,plain,
    ( spl0_40
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f98,axiom,
    ( ~ hskp18
    | ~ c2_1(a466) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f948,plain,
    ( ~ spl0_148
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f124,f257,f945]) ).

fof(f257,plain,
    ( spl0_13
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f124,axiom,
    ( ~ hskp2
    | ~ c1_1(a434) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f943,plain,
    ( spl0_63
    | spl0_37
    | ~ spl0_1
    | spl0_69 ),
    inference(avatar_split_clause,[],[f164,f501,f206,f357,f470]) ).

fof(f470,plain,
    ( spl0_63
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | hskp11
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f942,plain,
    ( spl0_39
    | spl0_70
    | spl0_59
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f206,f453,f505,f367]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | hskp14
      | c0_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f941,plain,
    ( ~ spl0_63
    | spl0_147 ),
    inference(avatar_split_clause,[],[f71,f938,f470]) ).

fof(f71,axiom,
    ( c2_1(a449)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f934,plain,
    ( spl0_146
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f62,f306,f931]) ).

fof(f62,axiom,
    ( ~ hskp16
    | c1_1(a457) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f929,plain,
    ( ~ spl0_1
    | spl0_89
    | spl0_103
    | spl0_29 ),
    inference(avatar_split_clause,[],[f198,f325,f686,f600,f206]) ).

fof(f198,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X2)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f927,plain,
    ( ~ spl0_48
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f130,f924,f408]) ).

fof(f130,axiom,
    ( ~ c2_1(a432)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f920,plain,
    ( spl0_39
    | ~ spl0_1
    | spl0_6
    | spl0_61 ),
    inference(avatar_split_clause,[],[f150,f461,f227,f206,f367]) ).

fof(f227,plain,
    ( spl0_6
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp12
      | ~ ndr1_0
      | hskp14
      | c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f919,plain,
    ( spl0_14
    | spl0_39
    | spl0_36 ),
    inference(avatar_split_clause,[],[f33,f353,f367,f262]) ).

fof(f262,plain,
    ( spl0_14
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f33,axiom,
    ( hskp13
    | hskp14
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f918,plain,
    ( ~ spl0_3
    | spl0_144 ),
    inference(avatar_split_clause,[],[f42,f915,f213]) ).

fof(f213,plain,
    ( spl0_3
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f42,axiom,
    ( c2_1(a447)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f913,plain,
    ( ~ spl0_36
    | spl0_143 ),
    inference(avatar_split_clause,[],[f67,f910,f353]) ).

fof(f67,axiom,
    ( c2_1(a451)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f908,plain,
    ( ~ spl0_50
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f90,f905,f417]) ).

fof(f90,axiom,
    ( ~ c3_1(a484)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f898,plain,
    ( spl0_34
    | ~ spl0_1
    | spl0_70
    | spl0_48 ),
    inference(avatar_split_clause,[],[f145,f408,f505,f206,f344]) ).

fof(f145,axiom,
    ! [X0] :
      ( hskp0
      | ~ c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | hskp8
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f897,plain,
    ( spl0_140
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f58,f381,f894]) ).

fof(f381,plain,
    ( spl0_42
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f58,axiom,
    ( ~ hskp20
    | c3_1(a472) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f892,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_33
    | spl0_37 ),
    inference(avatar_split_clause,[],[f165,f357,f340,f227,f206]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | c1_1(X0)
      | hskp12
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f891,plain,
    ( spl0_1
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f28,f231,f206]) ).

fof(f231,plain,
    ( spl0_7
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f28,axiom,
    ( ~ hskp3
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f890,plain,
    ( spl0_139
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f41,f213,f887]) ).

fof(f41,axiom,
    ( ~ hskp29
    | c1_1(a447) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f885,plain,
    ( ~ spl0_1
    | spl0_15
    | spl0_46
    | spl0_48 ),
    inference(avatar_split_clause,[],[f132,f408,f400,f266,f206]) ).

fof(f132,axiom,
    ! [X0] :
      ( hskp0
      | c1_1(X0)
      | hskp28
      | ~ c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f883,plain,
    ( spl0_42
    | spl0_36
    | spl0_21 ),
    inference(avatar_split_clause,[],[f35,f292,f353,f381]) ).

fof(f292,plain,
    ( spl0_21
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f35,axiom,
    ( hskp6
    | hskp13
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f882,plain,
    ( ~ spl0_124
    | spl0_138 ),
    inference(avatar_split_clause,[],[f74,f879,f800]) ).

fof(f74,axiom,
    ( c3_1(a443)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f877,plain,
    ( ~ spl0_79
    | spl0_137 ),
    inference(avatar_split_clause,[],[f51,f874,f551]) ).

fof(f51,axiom,
    ( c1_1(a486)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f872,plain,
    ( ~ spl0_136
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f120,f556,f869]) ).

fof(f556,plain,
    ( spl0_80
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f120,axiom,
    ( ~ hskp5
    | ~ c3_1(a441) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f857,plain,
    ( ~ spl0_133
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f122,f231,f854]) ).

fof(f122,axiom,
    ( ~ hskp3
    | ~ c0_1(a435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f852,plain,
    ( spl0_132
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f60,f287,f849]) ).

fof(f60,axiom,
    ( ~ hskp17
    | c0_1(a463) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f846,plain,
    ( spl0_131
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f52,f551,f843]) ).

fof(f52,axiom,
    ( ~ hskp24
    | c2_1(a486) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f841,plain,
    ( ~ spl0_130
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f94,f381,f838]) ).

fof(f94,axiom,
    ( ~ hskp20
    | ~ c2_1(a472) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f835,plain,
    ( spl0_25
    | ~ spl0_1
    | spl0_63
    | spl0_28 ),
    inference(avatar_split_clause,[],[f142,f322,f470,f206,f311]) ).

fof(f142,axiom,
    ! [X0] :
      ( c3_1(X0)
      | c1_1(X0)
      | hskp11
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f833,plain,
    ( ~ spl0_129
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f109,f217,f830]) ).

fof(f109,axiom,
    ( ~ hskp10
    | ~ c0_1(a448) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f828,plain,
    ( ~ spl0_1
    | spl0_48
    | spl0_59
    | spl0_56 ),
    inference(avatar_split_clause,[],[f158,f440,f453,f408,f206]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c2_1(X0)
      | c0_1(X0)
      | c2_1(X1)
      | hskp0
      | c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f826,plain,
    ( ~ spl0_128
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f119,f556,f823]) ).

fof(f119,axiom,
    ( ~ hskp5
    | ~ c2_1(a441) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f821,plain,
    ( ~ spl0_40
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f97,f818,f372]) ).

fof(f97,axiom,
    ( ~ c1_1(a466)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f815,plain,
    ( spl0_71
    | spl0_25
    | spl0_103
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f206,f686,f311,f510]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | c2_1(X0)
      | hskp30
      | hskp26
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f814,plain,
    ( ~ spl0_71
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f86,f811,f510]) ).

fof(f86,axiom,
    ( ~ c3_1(a492)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f808,plain,
    ( ~ spl0_125
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f116,f800,f805]) ).

fof(f116,axiom,
    ( ~ hskp7
    | ~ c1_1(a443) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f798,plain,
    ( ~ spl0_1
    | spl0_33
    | spl0_27
    | spl0_8 ),
    inference(avatar_split_clause,[],[f204,f235,f318,f340,f206]) ).

fof(f204,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | c1_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f797,plain,
    ( spl0_123
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f38,f311,f794]) ).

fof(f38,axiom,
    ( ~ hskp30
    | c0_1(a456) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f792,plain,
    ( ~ spl0_36
    | spl0_122 ),
    inference(avatar_split_clause,[],[f68,f789,f353]) ).

fof(f68,axiom,
    ( c3_1(a451)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f787,plain,
    ( ~ spl0_121
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f121,f631,f784]) ).

fof(f631,plain,
    ( spl0_94
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f121,axiom,
    ( ~ hskp4
    | ~ c1_1(a439) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f782,plain,
    ( spl0_120
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f53,f417,f779]) ).

fof(f53,axiom,
    ( ~ hskp23
    | c1_1(a484) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f777,plain,
    ( ~ spl0_1
    | spl0_44
    | spl0_70
    | spl0_107 ),
    inference(avatar_split_clause,[],[f184,f704,f505,f390,f206]) ).

fof(f390,plain,
    ( spl0_44
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | c0_1(X1)
      | hskp1
      | ~ ndr1_0
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f776,plain,
    ( ~ spl0_80
    | spl0_119 ),
    inference(avatar_split_clause,[],[f77,f773,f556]) ).

fof(f77,axiom,
    ( c0_1(a441)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f771,plain,
    ( spl0_118
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f66,f367,f768]) ).

fof(f66,axiom,
    ( ~ hskp14
    | c1_1(a452) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f766,plain,
    ( ~ spl0_21
    | spl0_1 ),
    inference(avatar_split_clause,[],[f25,f206,f292]) ).

fof(f25,axiom,
    ( ndr1_0
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).

fof(f765,plain,
    ( spl0_117
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f45,f266,f762]) ).

fof(f45,axiom,
    ( ~ hskp28
    | c2_1(a437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f760,plain,
    ( ~ spl0_116
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f104,f367,f757]) ).

fof(f104,axiom,
    ( ~ hskp14
    | ~ c2_1(a452) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f755,plain,
    ( ~ spl0_115
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f114,f344,f752]) ).

fof(f114,axiom,
    ( ~ hskp8
    | ~ c0_1(a444) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f750,plain,
    ( ~ spl0_114
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f113,f248,f747]) ).

fof(f248,plain,
    ( spl0_11
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f113,axiom,
    ( ~ hskp9
    | ~ c3_1(a445) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f745,plain,
    ( spl0_14
    | spl0_44
    | ~ spl0_1
    | spl0_59 ),
    inference(avatar_split_clause,[],[f141,f453,f206,f390,f262]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f744,plain,
    ( ~ spl0_1
    | spl0_21
    | spl0_40
    | spl0_59 ),
    inference(avatar_split_clause,[],[f140,f453,f372,f292,f206]) ).

fof(f140,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | hskp18
      | c3_1(X0)
      | hskp6
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f743,plain,
    ( spl0_113
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f65,f367,f740]) ).

fof(f65,axiom,
    ( ~ hskp14
    | c0_1(a452) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f733,plain,
    ( ~ spl0_25
    | spl0_111 ),
    inference(avatar_split_clause,[],[f39,f730,f311]) ).

fof(f39,axiom,
    ( c1_1(a456)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f728,plain,
    ( spl0_21
    | spl0_103
    | spl0_30
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f206,f328,f686,f292]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | hskp6
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f725,plain,
    ( spl0_44
    | spl0_94
    | ~ spl0_1
    | spl0_46 ),
    inference(avatar_split_clause,[],[f133,f400,f206,f631,f390]) ).

fof(f133,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | hskp4
      | hskp1
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f723,plain,
    ( spl0_110
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f80,f231,f720]) ).

fof(f80,axiom,
    ( ~ hskp3
    | c1_1(a435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f706,plain,
    ( ~ spl0_1
    | spl0_79
    | spl0_106
    | spl0_107 ),
    inference(avatar_split_clause,[],[f177,f704,f701,f551,f206]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | hskp24
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f699,plain,
    ( ~ spl0_42
    | spl0_105 ),
    inference(avatar_split_clause,[],[f57,f696,f381]) ).

fof(f57,axiom,
    ( c0_1(a472)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f694,plain,
    ( ~ spl0_104
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f118,f292,f691]) ).

fof(f118,axiom,
    ( ~ hskp6
    | ~ c3_1(a442) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f688,plain,
    ( ~ spl0_1
    | spl0_103
    | spl0_8
    | spl0_60 ),
    inference(avatar_split_clause,[],[f190,f457,f235,f686,f206]) ).

fof(f457,plain,
    ( spl0_60
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( hskp25
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f684,plain,
    ( ~ spl0_1
    | spl0_46
    | spl0_54
    | spl0_32 ),
    inference(avatar_split_clause,[],[f200,f337,f434,f400,f206]) ).

fof(f200,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f677,plain,
    ( ~ spl0_101
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f95,f262,f674]) ).

fof(f95,axiom,
    ( ~ hskp19
    | ~ c1_1(a467) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f672,plain,
    ( ~ spl0_100
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f126,f390,f669]) ).

fof(f126,axiom,
    ( ~ hskp1
    | ~ c0_1(a433) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f667,plain,
    ( ~ spl0_13
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f125,f664,f257]) ).

fof(f125,axiom,
    ( ~ c3_1(a434)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f657,plain,
    ( ~ spl0_1
    | spl0_32
    | spl0_7
    | spl0_55 ),
    inference(avatar_split_clause,[],[f161,f437,f231,f337,f206]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | hskp3
      | ~ c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f656,plain,
    ( ~ spl0_60
    | spl0_98 ),
    inference(avatar_split_clause,[],[f49,f653,f457]) ).

fof(f49,axiom,
    ( c2_1(a489)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f651,plain,
    ( spl0_97
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f59,f262,f648]) ).

fof(f59,axiom,
    ( ~ hskp19
    | c0_1(a467) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f646,plain,
    ( spl0_96
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f79,f631,f643]) ).

fof(f79,axiom,
    ( ~ hskp4
    | c3_1(a439) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f641,plain,
    ( spl0_34
    | spl0_8
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f206,f551,f235,f344]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | ~ c0_1(X0)
      | hskp8
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f640,plain,
    ( ~ spl0_1
    | spl0_70
    | spl0_52
    | spl0_29 ),
    inference(avatar_split_clause,[],[f192,f325,f425,f505,f206]) ).

fof(f192,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | c0_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f635,plain,
    ( spl0_36
    | ~ spl0_1
    | spl0_59
    | spl0_70 ),
    inference(avatar_split_clause,[],[f173,f505,f453,f206,f353]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp13
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f634,plain,
    ( spl0_93
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f78,f631,f627]) ).

fof(f78,axiom,
    ( ~ hskp4
    | c0_1(a439) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f625,plain,
    ( ~ spl0_63
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f108,f622,f470]) ).

fof(f108,axiom,
    ( ~ c3_1(a449)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f620,plain,
    ( spl0_29
    | spl0_8
    | spl0_32
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f201,f206,f337,f235,f325]) ).

fof(f201,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c3_1(X2)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

fof(f618,plain,
    ( spl0_39
    | ~ spl0_1
    | spl0_13
    | spl0_37 ),
    inference(avatar_split_clause,[],[f136,f357,f257,f206,f367]) ).

fof(f136,axiom,
    ! [X0] :
      ( c0_1(X0)
      | c2_1(X0)
      | hskp2
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f613,plain,
    ( ~ spl0_79
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f88,f610,f551]) ).

fof(f88,axiom,
    ( ~ c0_1(a486)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f608,plain,
    ( ~ spl0_60
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f87,f605,f457]) ).

fof(f87,axiom,
    ( ~ c0_1(a489)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f595,plain,
    ( ~ spl0_1
    | spl0_46
    | spl0_81
    | spl0_16 ),
    inference(avatar_split_clause,[],[f196,f270,f560,f400,f206]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ ndr1_0
      | c0_1(X2)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f594,plain,
    ( ~ spl0_1
    | spl0_25
    | spl0_52
    | spl0_24 ),
    inference(avatar_split_clause,[],[f138,f306,f425,f311,f206]) ).

fof(f138,axiom,
    ! [X0] :
      ( hskp16
      | c2_1(X0)
      | hskp30
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f593,plain,
    ( ~ spl0_21
    | spl0_87 ),
    inference(avatar_split_clause,[],[f75,f590,f292]) ).

fof(f75,axiom,
    ( c0_1(a442)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f588,plain,
    ( ~ spl0_1
    | spl0_85
    | spl0_52
    | spl0_86 ),
    inference(avatar_split_clause,[],[f193,f586,f425,f583,f206]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f581,plain,
    ( ~ spl0_63
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f107,f578,f470]) ).

fof(f107,axiom,
    ( ~ c1_1(a449)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f575,plain,
    ( spl0_83
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f70,f227,f572]) ).

fof(f70,axiom,
    ( ~ hskp12
    | c3_1(a450) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f569,plain,
    ( spl0_7
    | spl0_6
    | spl0_79 ),
    inference(avatar_split_clause,[],[f36,f551,f227,f231]) ).

fof(f36,axiom,
    ( hskp24
    | hskp12
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f568,plain,
    ( ~ spl0_1
    | spl0_24
    | spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f148,f337,f213,f306,f206]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp29
      | hskp16
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f567,plain,
    ( spl0_82
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f73,f344,f564]) ).

fof(f73,axiom,
    ( ~ hskp8
    | c2_1(a444) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f562,plain,
    ( spl0_32
    | spl0_80
    | spl0_81
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f206,f560,f556,f337]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | hskp5
      | ~ c3_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f554,plain,
    ( spl0_1
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f7,f551,f206]) ).

fof(f7,axiom,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f549,plain,
    ( spl0_78
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f46,f266,f546]) ).

fof(f46,axiom,
    ( ~ hskp28
    | c3_1(a437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f544,plain,
    ( spl0_2
    | spl0_15
    | spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f206,f235,f266,f210]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | hskp28
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f543,plain,
    ( ~ spl0_11
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f111,f540,f248]) ).

fof(f111,axiom,
    ( ~ c0_1(a445)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f537,plain,
    ( ~ spl0_7
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f123,f534,f231]) ).

fof(f123,axiom,
    ( ~ c3_1(a435)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f532,plain,
    ( spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f19,f227,f206]) ).

fof(f19,axiom,
    ( ~ hskp12
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

fof(f522,plain,
    ( ~ spl0_15
    | spl0_73 ),
    inference(avatar_split_clause,[],[f44,f519,f266]) ).

fof(f44,axiom,
    ( c0_1(a437)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f517,plain,
    ( ~ spl0_71
    | spl0_72 ),
    inference(avatar_split_clause,[],[f48,f514,f510]) ).

fof(f48,axiom,
    ( c2_1(a492)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f508,plain,
    ( spl0_11
    | spl0_59
    | ~ spl0_1
    | spl0_29 ),
    inference(avatar_split_clause,[],[f166,f325,f206,f453,f248]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X0)
      | hskp9
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f507,plain,
    ( ~ spl0_1
    | spl0_42
    | spl0_33
    | spl0_70 ),
    inference(avatar_split_clause,[],[f175,f505,f340,f381,f206]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | hskp20
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f503,plain,
    ( spl0_51
    | spl0_69
    | spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f206,f315,f501,f422]) ).

fof(f199,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | c2_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c2_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

fof(f499,plain,
    ( ~ spl0_44
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f127,f496,f390]) ).

fof(f127,axiom,
    ( ~ c1_1(a433)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f493,plain,
    ( ~ spl0_60
    | spl0_67 ),
    inference(avatar_split_clause,[],[f50,f490,f457]) ).

fof(f50,axiom,
    ( c3_1(a489)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f488,plain,
    ( ~ spl0_3
    | spl0_66 ),
    inference(avatar_split_clause,[],[f43,f485,f213]) ).

fof(f43,axiom,
    ( c3_1(a447)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f468,plain,
    ( spl0_62
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f63,f306,f465]) ).

fof(f63,axiom,
    ( ~ hskp16
    | c3_1(a457) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f463,plain,
    ( spl0_60
    | ~ spl0_1
    | spl0_61
    | spl0_51 ),
    inference(avatar_split_clause,[],[f186,f422,f461,f206,f457]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f455,plain,
    ( ~ spl0_1
    | spl0_20
    | spl0_59
    | spl0_32 ),
    inference(avatar_split_clause,[],[f174,f337,f453,f287,f206]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c3_1(X1)
      | hskp17
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f442,plain,
    ( spl0_54
    | ~ spl0_1
    | spl0_55
    | spl0_56 ),
    inference(avatar_split_clause,[],[f191,f440,f437,f206,f434]) ).

fof(f191,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f432,plain,
    ( spl0_53
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f69,f227,f429]) ).

fof(f69,axiom,
    ( ~ hskp12
    | c1_1(a450) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f427,plain,
    ( ~ spl0_1
    | spl0_51
    | spl0_30
    | spl0_52 ),
    inference(avatar_split_clause,[],[f197,f425,f328,f422,f206]) ).

fof(f197,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f420,plain,
    ( ~ spl0_49
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f89,f417,f413]) ).

fof(f89,axiom,
    ( ~ hskp23
    | ~ c2_1(a484) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f411,plain,
    ( spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f82,f408,f404]) ).

fof(f82,axiom,
    ( ~ hskp0
    | c3_1(a432) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f393,plain,
    ( ~ spl0_43
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f128,f390,f386]) ).

fof(f128,axiom,
    ( ~ hskp1
    | ~ c2_1(a433) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f379,plain,
    ( ~ spl0_40
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f99,f376,f372]) ).

fof(f99,axiom,
    ( ~ c3_1(a466)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f359,plain,
    ( ~ spl0_1
    | spl0_36
    | spl0_37
    | spl0_8 ),
    inference(avatar_split_clause,[],[f179,f235,f357,f353,f206]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | hskp13
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f351,plain,
    ( ~ spl0_34
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f115,f348,f344]) ).

fof(f115,axiom,
    ( ~ c3_1(a444)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f342,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f176,f340,f337,f231,f206]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | hskp3
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f335,plain,
    ( spl0_31
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f72,f217,f332]) ).

fof(f72,axiom,
    ( ~ hskp10
    | c1_1(a448) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f330,plain,
    ( ~ spl0_1
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f194,f328,f325,f322,f206]) ).

fof(f194,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f309,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f101,f306,f302]) ).

fof(f101,axiom,
    ( ~ hskp16
    | ~ c2_1(a457) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f299,plain,
    ( ~ spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f76,f296,f292]) ).

fof(f76,axiom,
    ( c2_1(a442)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f290,plain,
    ( ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f100,f287,f283]) ).

fof(f100,axiom,
    ( ~ hskp17
    | ~ c1_1(a463) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f281,plain,
    ( ~ spl0_18
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f96,f262,f278]) ).

fof(f96,axiom,
    ( ~ hskp19
    | ~ c2_1(a467) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f276,plain,
    ( spl0_14
    | spl0_16
    | spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f206,f274,f270,f262]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f272,plain,
    ( spl0_14
    | spl0_15
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f206,f270,f266,f262]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | hskp28
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f260,plain,
    ( spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f81,f257,f253]) ).

fof(f81,axiom,
    ( ~ hskp2
    | c0_1(a434) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f251,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f112,f248,f244]) ).

fof(f112,axiom,
    ( ~ hskp9
    | ~ c1_1(a445) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f242,plain,
    ( ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f106,f239,f227]) ).

fof(f106,axiom,
    ( ~ c0_1(a450)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f237,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_1
    | spl0_8 ),
    inference(avatar_split_clause,[],[f154,f235,f206,f231,f227]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp3
      | ~ c1_1(X0)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f225,plain,
    ( ~ spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f110,f217,f222]) ).

fof(f110,axiom,
    ( ~ hskp10
    | ~ c2_1(a448) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN509-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 22:00:54 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (8076)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.49  % (8079)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.50  % (8084)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (8078)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.51  % (8087)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.51  % (8102)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.52  % (8086)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.52  % (8077)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.52  % (8100)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.52  % (8096)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.52  % (8098)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (8080)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (8087)Instruction limit reached!
% 0.20/0.52  % (8087)------------------------------
% 0.20/0.52  % (8087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8095)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.52  % (8081)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (8087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8087)Termination reason: Unknown
% 0.20/0.52  % (8087)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (8087)Memory used [KB]: 6268
% 0.20/0.53  % (8087)Time elapsed: 0.004 s
% 0.20/0.53  % (8087)Instructions burned: 5 (million)
% 0.20/0.53  % (8087)------------------------------
% 0.20/0.53  % (8087)------------------------------
% 0.20/0.53  % (8088)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (8075)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (8089)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.53  % (8088)Instruction limit reached!
% 0.20/0.53  % (8088)------------------------------
% 0.20/0.53  % (8088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8088)Termination reason: Unknown
% 0.20/0.53  % (8088)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (8088)Memory used [KB]: 6012
% 0.20/0.53  % (8088)Time elapsed: 0.005 s
% 0.20/0.53  % (8088)Instructions burned: 4 (million)
% 0.20/0.53  % (8088)------------------------------
% 0.20/0.53  % (8088)------------------------------
% 0.20/0.53  % (8090)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.43/0.53  % (8104)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.43/0.53  % (8103)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.43/0.53  % (8090)Instruction limit reached!
% 1.43/0.53  % (8090)------------------------------
% 1.43/0.53  % (8090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53  % (8090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53  % (8090)Termination reason: Unknown
% 1.43/0.53  % (8090)Termination phase: Finite model building preprocessing
% 1.43/0.53  
% 1.43/0.53  % (8090)Memory used [KB]: 6140
% 1.43/0.53  % (8090)Time elapsed: 0.005 s
% 1.43/0.53  % (8090)Instructions burned: 7 (million)
% 1.43/0.53  % (8090)------------------------------
% 1.43/0.53  % (8090)------------------------------
% 1.43/0.53  % (8092)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.43/0.53  % (8077)Instruction limit reached!
% 1.43/0.53  % (8077)------------------------------
% 1.43/0.53  % (8077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53  % (8077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53  % (8077)Termination reason: Unknown
% 1.43/0.53  % (8077)Termination phase: Saturation
% 1.43/0.53  
% 1.43/0.53  % (8077)Memory used [KB]: 6012
% 1.43/0.53  % (8077)Time elapsed: 0.004 s
% 1.43/0.53  % (8077)Instructions burned: 5 (million)
% 1.43/0.53  % (8077)------------------------------
% 1.43/0.53  % (8077)------------------------------
% 1.43/0.54  % (8094)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.43/0.54  % (8092)Instruction limit reached!
% 1.43/0.54  % (8092)------------------------------
% 1.43/0.54  % (8092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (8092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54  % (8092)Termination reason: Unknown
% 1.43/0.54  % (8092)Termination phase: Saturation
% 1.43/0.54  
% 1.43/0.54  % (8092)Memory used [KB]: 6396
% 1.43/0.54  % (8092)Time elapsed: 0.151 s
% 1.43/0.54  % (8092)Instructions burned: 9 (million)
% 1.43/0.54  % (8092)------------------------------
% 1.43/0.54  % (8092)------------------------------
% 1.43/0.54  % (8097)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.43/0.54  % (8101)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.43/0.54  % (8091)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.43/0.54  % (8094)Instruction limit reached!
% 1.43/0.54  % (8094)------------------------------
% 1.43/0.54  % (8094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (8085)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.43/0.54  % (8082)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.43/0.54  % (8093)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.43/0.54  % (8095)Instruction limit reached!
% 1.43/0.54  % (8095)------------------------------
% 1.43/0.54  % (8095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (8083)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.43/0.54  % (8099)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.43/0.55  % (8085)Instruction limit reached!
% 1.43/0.55  % (8085)------------------------------
% 1.43/0.55  % (8085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55  % (8095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (8095)Termination reason: Unknown
% 1.43/0.55  % (8095)Termination phase: Saturation
% 1.43/0.55  
% 1.43/0.55  % (8095)Memory used [KB]: 1535
% 1.43/0.55  % (8095)Time elapsed: 0.004 s
% 1.43/0.55  % (8095)Instructions burned: 6 (million)
% 1.43/0.55  % (8095)------------------------------
% 1.43/0.55  % (8095)------------------------------
% 1.43/0.55  % (8085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (8085)Termination reason: Unknown
% 1.43/0.55  % (8085)Termination phase: Saturation
% 1.43/0.55  
% 1.43/0.55  % (8085)Memory used [KB]: 6012
% 1.43/0.55  % (8085)Time elapsed: 0.006 s
% 1.43/0.55  % (8085)Instructions burned: 7 (million)
% 1.43/0.55  % (8085)------------------------------
% 1.43/0.55  % (8085)------------------------------
% 1.60/0.55  % (8091)Instruction limit reached!
% 1.60/0.55  % (8091)------------------------------
% 1.60/0.55  % (8091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.55  % (8091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.55  % (8091)Termination reason: Unknown
% 1.60/0.55  % (8091)Termination phase: Saturation
% 1.60/0.55  
% 1.60/0.55  % (8091)Memory used [KB]: 6012
% 1.60/0.55  % (8091)Time elapsed: 0.004 s
% 1.60/0.55  % (8091)Instructions burned: 3 (million)
% 1.60/0.55  % (8091)------------------------------
% 1.60/0.55  % (8091)------------------------------
% 1.60/0.55  % (8103)Instruction limit reached!
% 1.60/0.55  % (8103)------------------------------
% 1.60/0.55  % (8103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (8079)Instruction limit reached!
% 1.60/0.56  % (8079)------------------------------
% 1.60/0.56  % (8079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (8103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (8103)Termination reason: Unknown
% 1.60/0.56  % (8103)Termination phase: Saturation
% 1.60/0.56  
% 1.60/0.56  % (8103)Memory used [KB]: 6652
% 1.60/0.56  % (8103)Time elapsed: 0.160 s
% 1.60/0.56  % (8103)Instructions burned: 20 (million)
% 1.60/0.56  % (8103)------------------------------
% 1.60/0.56  % (8103)------------------------------
% 1.60/0.56  % (8089)Instruction limit reached!
% 1.60/0.56  % (8089)------------------------------
% 1.60/0.56  % (8089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (8094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (8083)Instruction limit reached!
% 1.60/0.56  % (8083)------------------------------
% 1.60/0.56  % (8083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (8083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (8083)Termination reason: Unknown
% 1.60/0.56  % (8083)Termination phase: Saturation
% 1.60/0.56  
% 1.60/0.56  % (8083)Memory used [KB]: 6140
% 1.60/0.56  % (8083)Time elapsed: 0.003 s
% 1.60/0.56  % (8083)Instructions burned: 4 (million)
% 1.60/0.56  % (8083)------------------------------
% 1.60/0.56  % (8083)------------------------------
% 1.60/0.56  % (8094)Termination reason: Unknown
% 1.60/0.56  % (8094)Termination phase: Saturation
% 1.60/0.56  
% 1.60/0.56  % (8094)Memory used [KB]: 6396
% 1.60/0.56  % (8094)Time elapsed: 0.115 s
% 1.60/0.56  % (8094)Instructions burned: 8 (million)
% 1.60/0.56  % (8094)------------------------------
% 1.60/0.56  % (8094)------------------------------
% 1.60/0.56  % (8079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (8079)Termination reason: Unknown
% 1.60/0.56  % (8079)Termination phase: Saturation
% 1.60/0.56  
% 1.60/0.56  % (8079)Memory used [KB]: 7036
% 1.60/0.56  % (8079)Time elapsed: 0.160 s
% 1.60/0.56  % (8079)Instructions burned: 35 (million)
% 1.60/0.56  % (8079)------------------------------
% 1.60/0.56  % (8079)------------------------------
% 1.60/0.57  % (8076)Instruction limit reached!
% 1.60/0.57  % (8076)------------------------------
% 1.60/0.57  % (8076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57  % (8080)Instruction limit reached!
% 1.60/0.57  % (8080)------------------------------
% 1.60/0.57  % (8080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57  % (8080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57  % (8080)Termination reason: Unknown
% 1.60/0.57  % (8080)Termination phase: Saturation
% 1.60/0.57  
% 1.60/0.57  % (8080)Memory used [KB]: 6780
% 1.60/0.57  % (8080)Time elapsed: 0.174 s
% 1.60/0.57  % (8080)Instructions burned: 25 (million)
% 1.60/0.57  % (8080)------------------------------
% 1.60/0.57  % (8080)------------------------------
% 1.60/0.57  % (8086)Instruction limit reached!
% 1.60/0.57  % (8086)------------------------------
% 1.60/0.57  % (8086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57  % (8086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57  % (8086)Termination reason: Unknown
% 1.60/0.57  % (8086)Termination phase: Saturation
% 1.60/0.57  
% 1.60/0.57  % (8086)Memory used [KB]: 6396
% 1.60/0.57  % (8086)Time elapsed: 0.186 s
% 1.60/0.57  % (8086)Instructions burned: 23 (million)
% 1.60/0.57  % (8086)------------------------------
% 1.60/0.57  % (8086)------------------------------
% 1.60/0.57  % (8078)Instruction limit reached!
% 1.60/0.57  % (8078)------------------------------
% 1.60/0.57  % (8078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57  % (8096)First to succeed.
% 1.60/0.58  % (8076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.58  % (8076)Termination reason: Unknown
% 1.60/0.58  % (8076)Termination phase: Saturation
% 1.60/0.58  
% 1.60/0.58  % (8076)Memory used [KB]: 1791
% 1.60/0.58  % (8076)Time elapsed: 0.172 s
% 1.60/0.58  % (8076)Instructions burned: 42 (million)
% 1.60/0.58  % (8076)------------------------------
% 1.60/0.58  % (8076)------------------------------
% 1.60/0.58  % (8089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.58  % (8089)Termination reason: Unknown
% 1.60/0.58  % (8089)Termination phase: Saturation
% 1.60/0.58  
% 1.60/0.58  % (8089)Memory used [KB]: 1791
% 1.60/0.58  % (8089)Time elapsed: 0.164 s
% 1.60/0.58  % (8089)Instructions burned: 30 (million)
% 1.60/0.58  % (8089)------------------------------
% 1.60/0.58  % (8089)------------------------------
% 1.60/0.58  % (8096)Refutation found. Thanks to Tanya!
% 1.60/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.60/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.59  % (8096)------------------------------
% 1.60/0.59  % (8096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.59  % (8096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.59  % (8096)Termination reason: Refutation
% 1.60/0.59  
% 1.60/0.59  % (8096)Memory used [KB]: 7164
% 1.60/0.59  % (8096)Time elapsed: 0.189 s
% 1.60/0.59  % (8096)Instructions burned: 46 (million)
% 1.60/0.59  % (8096)------------------------------
% 1.60/0.59  % (8096)------------------------------
% 1.60/0.59  % (8073)Success in time 0.233 s
%------------------------------------------------------------------------------